138413942856 has 160 divisors (see below), whose sum is σ = 448538695200. Its totient is φ = 39546692640.

The previous prime is 138413942827. The next prime is 138413942861. The reversal of 138413942856 is 658249314831.

It is a happy number.

138413942856 is a `hidden beast` number, since 1 + 3 + 84 + 139 + 428 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 385171 + ... + 652061.

It is an arithmetic number, because the mean of its divisors is an integer number (2803366845).

Almost surely, 2^138413942856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138413942856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224269347600).

138413942856 is an abundant number, since it is smaller than the sum of its proper divisors (310124752344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138413942856 is an equidigital number, since it uses as much as digits as its factorization.

138413942856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266934 (or 266903 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 138413942856 in words is "one hundred thirty-eight billion, four hundred thirteen million, nine hundred forty-two thousand, eight hundred fifty-six".